Information on Result #826368
Linear OOA(4126, 145, F4, 2, 41) (dual of [(145, 2), 164, 42]-NRT-code), using OOA 2-folding based on linear OA(4126, 290, F4, 41) (dual of [290, 164, 42]-code), using
- construction XX applied to C1 = C([49,85]), C2 = C([56,89]), C3 = C1 + C2 = C([56,85]), and C∩ = C1 ∩ C2 = C([49,89]) [i] based on
- linear OA(4101, 255, F4, 37) (dual of [255, 154, 38]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {49,50,…,85}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(499, 255, F4, 34) (dual of [255, 156, 35]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {56,57,…,89}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(4113, 255, F4, 41) (dual of [255, 142, 42]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {49,50,…,89}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(487, 255, F4, 30) (dual of [255, 168, 31]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {56,57,…,85}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(49, 19, F4, 6) (dual of [19, 10, 7]-code), using
- 1 times truncation [i] based on linear OA(410, 20, F4, 7) (dual of [20, 10, 8]-code), using
- extended quadratic residue code Qe(20,4) [i]
- 1 times truncation [i] based on linear OA(410, 20, F4, 7) (dual of [20, 10, 8]-code), using
- linear OA(44, 16, F4, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,4)), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.